2506323645101 has 8 divisors (see below), whose sum is σ = 2654588756664. Its totient is φ = 2358151234560.

The previous prime is 2506323645097. The next prime is 2506323645121. The reversal of 2506323645101 is 1015463236052.

2506323645101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259232704201 + 2247090940900 = 509149^2 + 1499030^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2506323645101 - 2² = 2506323645097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506323645121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23119580 + ... + 23227733.

It is an arithmetic number, because the mean of its divisors is an integer number (331823594583).

Almost surely, 2^{2506323645101} is an apocalyptic number.

It is an amenable number.

2506323645101 is a deficient number, since it is larger than the sum of its proper divisors (148265111563).

2506323645101 is a wasteful number, since it uses less digits than its factorization.

2506323645101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46350511.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 2506323645101 in words is "two trillion, five hundred six billion, three hundred twenty-three million, six hundred forty-five thousand, one hundred one".